Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 5, 2008, Pages

  Wang, Ruili ^a,b   Liu, Mingzhe ^a   Jiang, Rui ^c  

^a MASSEY UNIVERSITY   (New Zealand)

^b NANJING UNIVERSITY   (China)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; MEAN FIELD THEORY; MULTIVARIABLE SYSTEMS; PHASE BOUNDARIES;

ASYMMETRIC EXCLUSION PROCESSES; DENSITY PROFILES; STATIONARY STATE PHASES;

LARGE SCALE SYSTEMS;

EID: 43749121386     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.051108     Document Type: Article

References (40)

1. D. Helbing, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.1067 73, 1067 (2001).
2. D. Chowdhury, A. Schadschneider, and K. Nishinari, Phys. Life. Rev. ZZZZZZ 1571-0645 2, 318 (2005).
3. T. Chou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.85 80, 85 (1998).
4. L. B. Shaw, R. K. P. Zia, and K. H. Lee, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.021910 68, 021910 (2003)
5. G. M. Schütz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999- 00529-8 48, 623 (1999).
6. B. Widom, J. L. Viovy, and A. D. Defontaines, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1991239 1, 1759 (1991).
7. S. Klumpp and R. Lipowsky, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1025778922620 113, 233 (2003).
8. D. Chowdhury, L. Santen, and A. Schadschneider, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00117-9 329, 199 (2000).
9. A. John, A. Schadschneider, D. Chowdhury, and K. Nishinari, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2004.06.022 231, 279 (2004).
10. B. Derrida, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00006-4 301, 65 (1998).
11. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, San Diego, 2001), Vol. 19.
12. R. Lipowsky, S. Klumpp, and T. M. Nieuwenhuizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.108101 87, 108101, (2001).
13. S. Klumpp and R. Lipowsky, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10155-6 66, 90, (2004).
14. A. Parmeggiani, T. Franosch, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.086601 90, 086601 (2003);
15. A. Parmeggiani, T. Franosch, and E. Frey, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046101 70, 046101 (2004).
16. V. Popkov, A. Rákos, R. D. Willmann, A. B. Kolomeisky, and G. M. Schütz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.066117 67, 066117 (2003).
17. N. Mirin and A. B. Kolomeisky, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1022163903473 110, 811 (2003).
18. M. R. Evans, R. Juhász, and L. Santen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.026117 68, 026117 (2003).
19. R. Juhász and L. Santen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/13/002 37, 3933 (2004).
20. S. Mukherji and S. M. Bhattacharjee, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/17/L02 38, L285 (2005).
21. K. Nishinari, Y. Okada, A. Schadschneider, and D. Chowdhury, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.118101 95, 118101 (2005).
22. T. Mitsudo and H. Hayakawa, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/49/002 39, 15073 (2006).
23. E. Pronina and A. B. Kolomeisky, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/42/005 37, 9907 (2004);
24. E. Pronina and A. B. Kolomeisky, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/40/10/004 40, 2275 (2007).
25. E. Pronina and A. B. Kolomeisky, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P07010.
26. T. Mitsudo and H. Hayakawa, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/14/002 38, 3087 (2005).
27. E. B. Stukalin and A. B. Kolomeisky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.031922 73, 031922 (2006).
28. T. Reichenbach, T. Franosch, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050603 97, 050603 (2006).
29. R. Jiang, R. Wang, and Q. S. Wu, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.08.025 375, 247 (2007).
30. R. Wang, M. Liu, and R. Jiang, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.09.042 387, 457 (2008).
31. S. Klumpp and R. Lipowsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066104 70, 066104 (2004).
32. P. Pierobon, M. Mobilia, R. Kouyos, and E. Frey, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031906 74, 031906 (2006).
33. D. Chrétien, F. Metoz, F. Verde, E. Karsenti, and R. H. Wade, J. Cell Biol. JCLBA3 0021-9525 10.1083/jcb.117.5.1031 117, 1031 (1992).
34. M. A. Burack, M. A. Silverman, and G. Banker, Neuron NERNET 0896-6273 10.1016/S0896-6273(00)81178-2 26, 465 (2000).
35. L. S. B. Goldstein, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.111145298 98, 6999 (2001).
36. D. D. Hurd and W. M. Saxton, Genetics GENTAE 0016-6731 144, 1075 (1996).
37. D. Helbing, R. Jiang, and M. Treiber, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046130 72, 046130 (2005).
38. A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky, and J. P. Straley, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/33/003 31, 6911 (1998).
39. L. G. Tilstra and M. H. Ernst, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/22/008 31, 5033 (1998).
40. J. de Gier and B. Nienhuis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.4899 59, 4899 (1999).